344130141441213 has 32 divisors (see below), whose sum is σ = 511822934179200. Its totient is φ = 228519926673408.

The previous prime is 344130141441187. The next prime is 344130141441217. The reversal of 344130141441213 is 312144141031443.

344130141441213 is a `hidden beast` number, since 3 + 4 + 41 + 30 + 141 + 441 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 344130141441213 - 2⁵ = 344130141441181 is a prime.

It is a super-2 number, since 2×344130141441213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344130141441217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215277195 + ... + 216869847.

It is an arithmetic number, because the mean of its divisors is an integer number (15994466693100).

Almost surely, 2^{344130141441213} is an apocalyptic number.

It is an amenable number.

344130141441213 is a deficient number, since it is larger than the sum of its proper divisors (167692792737987).

344130141441213 is a wasteful number, since it uses less digits than its factorization.

344130141441213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624058 (or 1624052 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 344130141441213 its reverse (312144141031443), we get a palindrome (656274282472656).

The spelling of 344130141441213 in words is "three hundred forty-four trillion, one hundred thirty billion, one hundred forty-one million, four hundred forty-one thousand, two hundred thirteen".